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Some Properties of Binormal and Complex Symmetric Operators

Yaru Wang

In this paper, first, we describe the conditions that a binormal operator becomes a normal operator and an n-binormal becomes an n-normal. we also give some properties of binormal, n-binormal and n-normal. Second, we solve the problem that binormal is not closed under addition. Third, we describe necessary and sufficient conditions that a skew complex symmetric operator becomes a binormal opetrator.